Question

It is estimated that 26% of all california adults are college graduates and that 31% of california adults are regular internet users. It is also estimated that 19% of california adults are both college graduates and regular internet users.

Required:
a. What is the probability that a california adult is an internet user, given that he or she is a college graduate?
b. Among California adults, what is the probability that a randomly chosen internet user is a college graduate?

Answer 1

Explanation:

a) The probability that a california adult is an internet user, given that he or she is a college graduate can be represented with the following

P(internet user|college graduate) = P(internet user ∩ college graduate) P(college graduate) = 0.19/26= 0.7307

= 0.73

b) The probability that a randomly chosen internet user is a college graduate?

P(college graduate|internet user) = P(internet user ∩ college graduate) P(internet user) = 0.19/0.31= 0.6129

= 0.61